Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada |
|
1992
|
The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity. Zbl 0990.82008
Deguchi, Tetsuo; Fabricius, Klaus; McCoy, Barry M. |
|
2001
|
Exactly solvable models and new link polynomials. II: Link polynomials for closed 3-braids. Zbl 0719.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki |
|
1987
|
Quantum superalgebra \(U_q\mathrm{osp}(2,2)\). Zbl 1332.17015
Deguchi, Tetsuo; Fujii, Akira; Ito, Katsushi |
|
1990
|
Knot theory based on solvable models at criticality. Zbl 0847.57007
Deguchi, Tetsuo; Wadati, Miki; Akutsu, Yasuhiro |
|
1989
|
Exactly solvable models and new link polynomials. IV: IRF models. Zbl 0719.57006
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki |
|
1988
|
Graded solutions of the Yang-Baxter relation and link polynomials. Zbl 0724.57002
Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1990
|
A statistical study of random knotting using the Vassiliev invariants. Zbl 0841.57010
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1994
|
Colored vertex models, colored IRF models and invariants of trivalent colored graphs. Zbl 0972.82522
Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1993
|
Analytic Bethe ansatz for 1D Hubbard model and twisted coupled \(XY\) model. Zbl 0992.82009
Yue, Ruihong; Deguchi, Tetsuo |
|
1997
|
Exactly solvable models and new link polynomials. V: Yang-Baxter operator and braid-monoid algebra. Zbl 0719.57007
Deguchi, Tetsuo; Wadati, Miki; Akutsu, Yasuhiro |
|
1988
|
New hierarchy of colored-braid-group representations. Zbl 0990.82518
Akutsu, Yasuhiro; Deguchi, Tetsuo |
|
1991
|
Exactly solvable models and new link polynomials. III: Two-variable topological invariants. Zbl 0719.57005
Deguchi, Tetsuo; Akutsu, Yasuhiro; Wadati, Miki |
|
1988
|
An algebraic approach to vertex models and transfer matrix spectra. Zbl 0925.17006
Deguchi, T.; Martin, P. P. |
|
1992
|
Probability theory of random polygons from the quaternionic viewpoint. Zbl 1300.60026
Cantarella, Jason; Deguchi, Tetsuo; Shonkwiler, Clayton |
|
2014
|
The \(L(\mathfrak{sl}_2)\) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model. Zbl 1160.81395
Nishino, Akinori; Deguchi, Tetsuo |
|
2006
|
Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method. Zbl 1204.82008
Deguchi, Tetsuo; Matsui, Chihiro |
|
2010
|
On the dominance of trivial knots among SAPs on a cubic lattice. Zbl 0982.82015
Yao, Akihisa; Matsuda, Hiroshi; Tsukahara, Hiroshi; Shimamura, Miyuki K.; Deguchi, Tetsuo |
|
2001
|
An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model. Zbl 1161.82006
Nishino, Akinori; Deguchi, Tetsuo |
|
2008
|
The Yang-Baxter relation: A new tool for knot theory. Zbl 0717.57003
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki |
|
1989
|
The \(sl_ 2\) loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity. Zbl 1088.81057
Deguchi, Tetsuo |
|
2004
|
Linking probabilities of off-lattice self-avoiding polygons and the effects of excluded volume. Zbl 1157.82053
Hirayama, Naomi; Tsurusaki, Kyoichi; Deguchi, Tetsuo |
|
2009
|
Construction of some missing eigenvectors of the \(XYZ\) spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix. Zbl 0993.82018
Deguchi, Tetsuo |
|
2002
|
Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. Zbl 1194.82016
Deguchi, Tetsuo; Matsui, Chihiro |
|
2009
|
Exact quantum numbers of collapsed and non-collapsed two-string solutions in the spin-1/2 Heisenberg spin chain. Zbl 1342.82024
Deguchi, Tetsuo; Giri, Pulak Ranjan |
|
2016
|
Topology of closed random polygons. Zbl 0972.82542
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1993
|
IRF models associated with representations of the Lie superalgebras \(\text{gl}(m|n)\) and \(\text{sl}(m|n)\). Zbl 1020.82547
Deguchi, Tetsuo; Fujii, Akira |
|
1991
|
Regular \(XXZ\) Bethe states at roots of unity as highest weight vectors of the \(\mathrm{sl}_{2}\) loop algebra. Zbl 1115.82006
Deguchi, Tetsuo |
|
2007
|
Spin chains from super-models. Zbl 1091.82500
Deguchi, Tetsuo; Ghosh, Pijush K. |
|
2001
|
Non-regular eigenstate of the \(XXX\) model as some limit of the Bethe state. Zbl 0993.82012
Deguchi, Tetsuo |
|
2001
|
Characteristic length of random knotting for cylindrical self-avoiding polygons. Zbl 1065.60501
Shimamura, M. K.; Deguchi, T. |
|
2000
|
Non self-conjugate strings, singular strings and rigged configurations in the Heisenberg model. Zbl 1456.82350
Deguchi, Tetsuo; Giri, Pulak Ranjan |
|
2015
|
The exactly solvable quasi-Hermitian transverse Ising model. Zbl 1183.82012
Deguchi, Tetsuo; Ghosh, Pijush K. |
|
2009
|
Anomalous finite-size effects for the mean-squared gyration radius of Gaussian random knots. Zbl 1053.82507
Shimamura, Miyuki K.; Deguchi, Tetsuo |
|
2002
|
Random knots and links and applications to polymer physics. Zbl 0913.57010
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1997
|
The 8V CSOS model and the \(\text{sl}_2\) loop algebra symmetry of the six-vertex model at roots of unity. Zbl 1073.82535
Deguchi, Tetsuo |
|
2002
|
Numerical application of knot invariants and universality of random knotting. Zbl 0901.57013
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1998
|
A gapless charge mode induced by the boundary states in the half-filled Hubbard open chain. Zbl 0953.82011
Deguchi, Tetsuo; Yue, Ruihong; Kusakabe, Koichi |
|
1998
|
Generalized generalized spin models associated with exactly solvable models. Zbl 0854.05102
Deguchi, Tetsuo |
|
1996
|
Numerical application of quantum invariants to random knotting. Zbl 0870.57011
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1997
|
Multivariable invariants of colored links generalizing the Alexander polynomial. Zbl 0883.57011
Deguchi, Tetsuo |
|
1994
|
On numerical applications of the Vassiliev invariants to computational problems in physics. Zbl 0883.57014
Deguchi, Tetsuo |
|
1994
|
Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebras of the \(\mathrm{sl}_2\) loop algebra. Zbl 1183.17002
Deguchi, Tetsuo |
|
2006
|
Erratum to: Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. Zbl 1321.82010
Deguchi, Tetsuo; Matsui, Chihiro |
|
2011
|
Reduction formula of form factors for the integrable spin-s XXZ chains and application to correlation functions. Zbl 1456.82242
Deguchi, Tetsuo |
|
2012
|
Heisenberg model and rigged configurations. Zbl 1456.82264
Giri, Pulak Ranjan; Deguchi, Tetsuo |
|
2015
|
Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries. Zbl 1221.82024
Deguchi, Tetsuo; Matsui, Chihiro |
|
2011
|
Colored braid matrices from infinite-dimensional representations of \(U_q(g)\). Zbl 1021.81567
Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1992
|
Topological effects on the average size of random knots. Zbl 1010.82042
Deguchi, Tetsuo; Shimamura, Miyuki K. |
|
2002
|
The six-vertex model at roots of unity and some highest weight representations of the \(\text{sl}_2\) loop algebra. Zbl 1144.17007
Deguchi, Tetsuo |
|
2006
|
Completeness of Bethe ansatz for 1D Hubbard model with ab-flux through combinatorial formulas and exact enumeration of eigenstates. Zbl 1149.82310
Nishino, Akinori; Deguchi, Tetsuo |
|
2004
|
Exactly solvable models and new link polynomials. Zbl 0723.57010
Wadati, Miki; Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1990
|
Link polynomials and exactly solvable models. Zbl 0728.57007
Wadati, Miki; Akutsu, Yasuhiro; Deguchi, Tetsuo |
|
1990
|
On the degenerate multiplicity of the \(sl_2\) loop algebra for the 6V transfer matrix at roots of unity. Zbl 1098.81049
Deguchi, Tetsuo |
|
2006
|
Topological sum rules in the knotting probabilities of DNA. Zbl 1444.57002
Deguchi, Tetsuo; Uehara, Erica |
|
2020
|
Topological sum rules in the knotting probabilities of DNA. Zbl 1444.57002
Deguchi, Tetsuo; Uehara, Erica |
|
2020
|
Exact quantum numbers of collapsed and non-collapsed two-string solutions in the spin-1/2 Heisenberg spin chain. Zbl 1342.82024
Deguchi, Tetsuo; Giri, Pulak Ranjan |
|
2016
|
Non self-conjugate strings, singular strings and rigged configurations in the Heisenberg model. Zbl 1456.82350
Deguchi, Tetsuo; Giri, Pulak Ranjan |
|
2015
|
Heisenberg model and rigged configurations. Zbl 1456.82264
Giri, Pulak Ranjan; Deguchi, Tetsuo |
|
2015
|
Probability theory of random polygons from the quaternionic viewpoint. Zbl 1300.60026
Cantarella, Jason; Deguchi, Tetsuo; Shonkwiler, Clayton |
|
2014
|
Reduction formula of form factors for the integrable spin-s XXZ chains and application to correlation functions. Zbl 1456.82242
Deguchi, Tetsuo |
|
2012
|
Erratum to: Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. Zbl 1321.82010
Deguchi, Tetsuo; Matsui, Chihiro |
|
2011
|
Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries. Zbl 1221.82024
Deguchi, Tetsuo; Matsui, Chihiro |
|
2011
|
Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method. Zbl 1204.82008
Deguchi, Tetsuo; Matsui, Chihiro |
|
2010
|
Linking probabilities of off-lattice self-avoiding polygons and the effects of excluded volume. Zbl 1157.82053
Hirayama, Naomi; Tsurusaki, Kyoichi; Deguchi, Tetsuo |
|
2009
|
Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. Zbl 1194.82016
Deguchi, Tetsuo; Matsui, Chihiro |
|
2009
|
The exactly solvable quasi-Hermitian transverse Ising model. Zbl 1183.82012
Deguchi, Tetsuo; Ghosh, Pijush K. |
|
2009
|
An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model. Zbl 1161.82006
Nishino, Akinori; Deguchi, Tetsuo |
|
2008
|
Regular \(XXZ\) Bethe states at roots of unity as highest weight vectors of the \(\mathrm{sl}_{2}\) loop algebra. Zbl 1115.82006
Deguchi, Tetsuo |
|
2007
|
The \(L(\mathfrak{sl}_2)\) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model. Zbl 1160.81395
Nishino, Akinori; Deguchi, Tetsuo |
|
2006
|
Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebras of the \(\mathrm{sl}_2\) loop algebra. Zbl 1183.17002
Deguchi, Tetsuo |
|
2006
|
The six-vertex model at roots of unity and some highest weight representations of the \(\text{sl}_2\) loop algebra. Zbl 1144.17007
Deguchi, Tetsuo |
|
2006
|
On the degenerate multiplicity of the \(sl_2\) loop algebra for the 6V transfer matrix at roots of unity. Zbl 1098.81049
Deguchi, Tetsuo |
|
2006
|
The \(sl_ 2\) loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity. Zbl 1088.81057
Deguchi, Tetsuo |
|
2004
|
Completeness of Bethe ansatz for 1D Hubbard model with ab-flux through combinatorial formulas and exact enumeration of eigenstates. Zbl 1149.82310
Nishino, Akinori; Deguchi, Tetsuo |
|
2004
|
Construction of some missing eigenvectors of the \(XYZ\) spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix. Zbl 0993.82018
Deguchi, Tetsuo |
|
2002
|
Anomalous finite-size effects for the mean-squared gyration radius of Gaussian random knots. Zbl 1053.82507
Shimamura, Miyuki K.; Deguchi, Tetsuo |
|
2002
|
The 8V CSOS model and the \(\text{sl}_2\) loop algebra symmetry of the six-vertex model at roots of unity. Zbl 1073.82535
Deguchi, Tetsuo |
|
2002
|
Topological effects on the average size of random knots. Zbl 1010.82042
Deguchi, Tetsuo; Shimamura, Miyuki K. |
|
2002
|
The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity. Zbl 0990.82008
Deguchi, Tetsuo; Fabricius, Klaus; McCoy, Barry M. |
|
2001
|
On the dominance of trivial knots among SAPs on a cubic lattice. Zbl 0982.82015
Yao, Akihisa; Matsuda, Hiroshi; Tsukahara, Hiroshi; Shimamura, Miyuki K.; Deguchi, Tetsuo |
|
2001
|
Spin chains from super-models. Zbl 1091.82500
Deguchi, Tetsuo; Ghosh, Pijush K. |
|
2001
|
Non-regular eigenstate of the \(XXX\) model as some limit of the Bethe state. Zbl 0993.82012
Deguchi, Tetsuo |
|
2001
|
Characteristic length of random knotting for cylindrical self-avoiding polygons. Zbl 1065.60501
Shimamura, M. K.; Deguchi, T. |
|
2000
|
Numerical application of knot invariants and universality of random knotting. Zbl 0901.57013
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1998
|
A gapless charge mode induced by the boundary states in the half-filled Hubbard open chain. Zbl 0953.82011
Deguchi, Tetsuo; Yue, Ruihong; Kusakabe, Koichi |
|
1998
|
Analytic Bethe ansatz for 1D Hubbard model and twisted coupled \(XY\) model. Zbl 0992.82009
Yue, Ruihong; Deguchi, Tetsuo |
|
1997
|
Random knots and links and applications to polymer physics. Zbl 0913.57010
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1997
|
Numerical application of quantum invariants to random knotting. Zbl 0870.57011
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1997
|
Generalized generalized spin models associated with exactly solvable models. Zbl 0854.05102
Deguchi, Tetsuo |
|
1996
|
A statistical study of random knotting using the Vassiliev invariants. Zbl 0841.57010
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1994
|
Multivariable invariants of colored links generalizing the Alexander polynomial. Zbl 0883.57011
Deguchi, Tetsuo |
|
1994
|
On numerical applications of the Vassiliev invariants to computational problems in physics. Zbl 0883.57014
Deguchi, Tetsuo |
|
1994
|
Colored vertex models, colored IRF models and invariants of trivalent colored graphs. Zbl 0972.82522
Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1993
|
Topology of closed random polygons. Zbl 0972.82542
Deguchi, Tetsuo; Tsurusaki, Kyoichi |
|
1993
|
Invariants of colored links. Zbl 0758.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Ohtsuki, Tomotada |
|
1992
|
An algebraic approach to vertex models and transfer matrix spectra. Zbl 0925.17006
Deguchi, T.; Martin, P. P. |
|
1992
|
Colored braid matrices from infinite-dimensional representations of \(U_q(g)\). Zbl 1021.81567
Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1992
|
New hierarchy of colored-braid-group representations. Zbl 0990.82518
Akutsu, Yasuhiro; Deguchi, Tetsuo |
|
1991
|
IRF models associated with representations of the Lie superalgebras \(\text{gl}(m|n)\) and \(\text{sl}(m|n)\). Zbl 1020.82547
Deguchi, Tetsuo; Fujii, Akira |
|
1991
|
Quantum superalgebra \(U_q\mathrm{osp}(2,2)\). Zbl 1332.17015
Deguchi, Tetsuo; Fujii, Akira; Ito, Katsushi |
|
1990
|
Graded solutions of the Yang-Baxter relation and link polynomials. Zbl 0724.57002
Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1990
|
Exactly solvable models and new link polynomials. Zbl 0723.57010
Wadati, Miki; Deguchi, Tetsuo; Akutsu, Yasuhiro |
|
1990
|
Link polynomials and exactly solvable models. Zbl 0728.57007
Wadati, Miki; Akutsu, Yasuhiro; Deguchi, Tetsuo |
|
1990
|
Knot theory based on solvable models at criticality. Zbl 0847.57007
Deguchi, Tetsuo; Wadati, Miki; Akutsu, Yasuhiro |
|
1989
|
The Yang-Baxter relation: A new tool for knot theory. Zbl 0717.57003
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki |
|
1989
|
Exactly solvable models and new link polynomials. IV: IRF models. Zbl 0719.57006
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki |
|
1988
|
Exactly solvable models and new link polynomials. V: Yang-Baxter operator and braid-monoid algebra. Zbl 0719.57007
Deguchi, Tetsuo; Wadati, Miki; Akutsu, Yasuhiro |
|
1988
|
Exactly solvable models and new link polynomials. III: Two-variable topological invariants. Zbl 0719.57005
Deguchi, Tetsuo; Akutsu, Yasuhiro; Wadati, Miki |
|
1988
|
Exactly solvable models and new link polynomials. II: Link polynomials for closed 3-braids. Zbl 0719.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki |
|
1987
|